Emergence of coherent vortices from Leslie’s perturbation method in a rotating turbulent fluid

Abstract

Abstract Publisher's Note: This article was withdrawn in July 2018 due to a dispute over the authorship of the work. The Coriolis force that plays a fundamental role in determining the anisotropic structure of rotating turbulent fluid, has evaded most analytical attempts in understanding the emergence of coherent columnar structures. Here we treated the Coriolis term appearing in the rotating turbulence dynamics as a perturbation acting on the isotropic Kolmogorov state and show that it generates anisotropic (angle-dependent) contribution to the spectral energy density. We find that, with increasing length scales, the turbulent energy density resides more and more predominantly in the wavevectors perpendicular to the rotation axis. This signifies the generation of coherent columnar vortices at sufficiently large scales which is consistent with experimental observations and numerical predictions in rotating turbulence.